Related papers: Uniqueness type result in dimension 3
We give some estimates of type sup*inf for the prescribed scalar curvature equation in dimension 4 and 5, under some condtion on the prescribed curvature.
We give some estimate of type sup*inf for scalar curvature type equations.
We give two results about Harnack type inequalities. First, on compact smooth Riemannian surface without boundary, we have an estimate of the type $\sup +\inf$. The second result concerns the solutions of prescribed scalar curvature…
We give a uniform estimate for solutions of prescribed scalar curvature type equation in dimension 4.
We prove an a priori estimate of type sup*inf on Riemannian manifold of dimension 3 (not necessarily compact).
We consider the uniqueness of solutions of ordinary differential equations where the coefficients may have singularities. We derive upper bounds on the the order of singularities of the coefficients and provide examples to illustrate the…
We give Harnack inequalities for solutions of equations of type prescribed scalar curvature in dimensions n $\ge$ 4.
We give some a priori estimates of type sup*inf for Yamabe and prescribed scalar curvature type equations on Riemannian manifolds of dimension >2. The product sup*inf is caracteristic of those equations, like the usual Harnack inequalities…
We study singularities of surfaces which are given by Kenmotsu-type formula with prescribed unbounded mean curvature.
We give an inequality of type sup x inf in dimension 5 for a Yamabe type equation.
We give an inequality of type sup+Cinf in dimension 2.
The purpose of this paper is to construct a crepant resolution of quotient singularities by finite subgroups of SL(3,C) of monomial type, and prove that the Euler number of the resolution is equal to the number of conjugacy classes. This…
We give some results on a priori estimates and on estimates of type sup+inf and sup*inf.
We prove uniqueness results for capillary disks in three-dimensional domains that are modeled by an elliptic PDE, under the assumption that the domain admits a family of surfaces with suitable properties. Our main theorem generalizes…
We give some estimates of type sup $\times$ inf on Riemannian manifold of dimension 5.
We prove a priori interior curvature estimates for hypersurfaces of prescribing scalar curvature equations in dimension three. The method is motivated by the integral method of Warren and Yuan. The new observation here is that the…
This paper is devoted to the Q-curvature type equation with singularities; mainly we give existence and regularity results of solutions. To have positive solutions which will be meaningfully in conformal geometry we restrict ourself to…
We prove a "strong" Durfee-type inequality for isolated hypersurface surface singularities, which implies Durfee's strong conjecture for such singularities with non-negative topological Euler number of the exceptional set of the minimal…
We give an estimate of type sup $\times$ inf on Riemannian manifold of dimension 4 for a Yamabe type equation.
We give existence results for solutions of the prescribed scalar curvature equation on $S^3$, when the curvature function is a positive Morse function and satisfies an index-count condition.